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Finding the Third Proportional to 7,178,069 and 11,033,208

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Solution

The third proportional to 7,178,069 and 11,033,208 is: 16,958,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178,069 : 11,033,208 = 11,033,208 : x
  2. Step 2: Convert to fraction form
    7,178,069/11,033,208 = 11,033,208/x
  3. Step 3: Cross multiply
    7,178,069x = 11,033,208 × 11,033,208
  4. Step 4: Simplify right side
    7,178,069x = 121,731,678,771,264
  5. Step 5: Solve for x
    x = 121,731,678,771,264/7,178,069
  6. Step 6: Final answer
    x = 16,958,833.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.